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Scale-invariant statistics of period in directed earthquake network

2004/11/17 by Sumiyoshi Abe, Norikazu Suzuki
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Cartography #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Computer science #Environmental science #Geography #Mathematics #Opinion Dynamics and Social Influence #Period (music) #Physics #Scale (ratio) #Scale invariance #Statistics #cond-mat.dis-nn

paper · pdf · doi:10.1140/epjb/e2005-00106-7

11 pages including 3 figures

arxiv created 2004/11/17 · openalex publication_date 2005/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new law regarding structure of the earthquake networks is found. The seismic data taken in California is mapped to a growing directed network. Then, statistics of period in the network, which implies that after how many earthquakes an earthquake returns to the initial location, is studied. It is found that the period distribution obeys a power law, showing the fundamental difficulty of statistical estimate of period.

Citations